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Finding the Fourth Proportional to 230.85, 344.45 and 229.33

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Solution

The fourth proportional to 230.85, 344.45 and 229.33 is: 342.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.85 : 344.45 = 229.33 : x
  2. Step 2: Convert to fraction form
    230.85/344.45 = 229.33/x
  3. Step 3: Cross multiply
    230.85x = 344.45 × 229.33
  4. Step 4: Simplify right side
    230.85x = 78,993.72
  5. Step 5: Solve for x
    x = 78,993.72/230.85
  6. Step 6: Final answer
    x = 342.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.